CK-12 Foundation
Basic Trigonometric Functions: Ladder Length
Climb the ladder to trigonometry. The interactive introduces trigonometric ratios and finding lengths of sides of right triangles created by a ladder and a building. Learners use the interactive to create triangles by moving the top of...
Curated OER
Missing Angles
In this missing angle worksheet, students use trigonometry ratios to determine the measurement of a missing angle. Students identify sine, cosine and tangent ratios. This one-page worksheet contains ten problems.
Curated OER
Basic Trigonometric Ratios
In this trigonometric ratio worksheet, students determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the bottom...
Curated OER
Similar Polygons
In this similar polygons instructional activity, 10th graders solve 10 different problems that include determining various similar polygons. First, they determine the perimeter of a second triangle given the measures of all angles in the...
Curated OER
Year 10 Trigonometry Ch. 14 Answer Sheet
In this math worksheet, students find the solutions for the trigonometry problems. They label the hypotenuse, adjacent, and opposite sides. The calculations are done using sine, cosine, and tangent.
Curated OER
Amazing Consistent Ratios
Learners derive the six trigonometric identities. For this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Curated OER
Why We Study Trigonometry
Students investigate the different properties of trigonometry. In this precalculus lesson plan, students find the six different identities of trigonometric ratios. They relate the ratios to that of a right triangle and apply it to real...
Curated OER
Trigonometry
In this trigonometry worksheet, students find the missing angles for given triangles. They use the trigonometric ratios to solve the problems.
Curated OER
Trigonometric Functions
In this trigonometric functions learning exercise, 11th graders solve and complete 10 different problems. First, they perform the indicated operations and simplify each function. Then, students find the ratio of the area of the shaded...
Curated OER
Finding Trigonometric Ratios
In this finding trigonometric ratios instructional activity, 11th graders solve and complete 22 various types of problems. First, they find the value of each trigonometric ratio to the nearest ten-thousandth. Then, students use a...
Curated OER
Similar Right Triangles-Introductions to Trigonometry
In this geometry worksheet, students examine similar right triangles as the basis for the foundation of trigonometry. Students define the basic trigonometric functions and use a calculator to find the trigonometric value of an angle. The...
Curated OER
Introducing Trigonometry
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Curated OER
Trigonometry
Students investigate angles converting them from radians to degrees. For this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify the...
Curated OER
Indirect Measurement, Surveying Trigonometry
Students measure distances using indirect measurements. In this geometry lesson, students apply proportion and ratios to measure heights of different objects. They differentiate between direct and indirect measurements.
Curated OER
Introduction to Trigonometry
Students identify the six trigonometric ratios and properties. In this trig lesson plan, students define basic trig functions as it relates to solving right triangles. They identify the equation for sine as o/h and cosine as a/h and...
Curated OER
Trigonometry
In this right triangles worksheet, students use trigonometric ratios to determine the length of a side of a triangle or a missing angle measurement. This two-page worksheet contains 20 problems.
Curated OER
Trigonometry Puzzle
For this trigonometry worksheet, students solve for the degree or the ratio in 48 questions using the 6 basic trigonometric functions.
Curated OER
Does Your Field Measure Up
Students measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
EngageNY
Unknown Angles
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
Curated OER
Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
CK-12 Foundation
Double Angle Identities: Ferris Wheel
Use a Ferris wheel to soar to new heights of understanding on double angle identities. Here is an interactive that applies an example of a Ferris wheel to show how doubling the angle does not double the value of a trigonometric ratio....
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Curated OER
Introducing Trig
Fifth graders explore the importance of triangles in the real world. They find the unknown side of a right triangle using a scale drawing. Students use Pythagoras' Theorem and other appropriate ratios.